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49392000 = 27325373
BaseRepresentation
bin1011110001101…
…0100110000000
310102221101002100
42330122212000
5100121021000
64522350400
71136553000
oct274324600
9112841070
1049392000
1125975a39
121465b400
13a304748
1467ba000
154509a00
hex2f1a980

49392000 has 384 divisors, whose sum is σ = 206856000. Its totient is φ = 11289600.

The previous prime is 49391939. The next prime is 49392011. The reversal of 49392000 is 29394.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7055997 + ... + 7056003.

Almost surely, 249392000 is an apocalyptic number.

49392000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103428000).

49392000 is an abundant number, since it is smaller than the sum of its proper divisors (157464000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49392000 is an equidigital number, since it uses as much as digits as its factorization.

49392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 49392000 is about 7027.9442228862. The cubic root of 49392000 is about 366.9037951892.

The spelling of 49392000 in words is "forty-nine million, three hundred ninety-two thousand".